All categories

3 years ago

A quadrilateral has angle measures of 84°, 107°, and 58°.

1 answer:

3 0

Hello!

The angles in a quadrilateral add to 360°

Subtract the known angles from 360 to get the missing angle

360 - 84 - 107 - 58 = 111

The answer is 111°

Hope this helps!

You might be interested in

Which of the following statements best describes the value of the expression 6x + 7 when x = 5?

Tanzania [10]

Answer:

? is there a option?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)

Andru [333]

Answer:

y = 1/3x - 1

Step-by-step explanation:

This is because the slope is rise over run. The slope is 1/3 and the y-intercept is -1

Hope this helps

8 0

3 years ago

Read 2 more answers

Michelle deposited $1,385 into a savings account with a simple interest rate of 2.89% per year. If Michelle does not touch the f

aniked [119]

Answer:

$1,665.19

Step-by-step explanation:

Interest=PRT/100 where P is the principal amount deposited by Michelle, R is the rate offered per year in terms of percentage, T is the period in years

Substituting P for $1385, T for 7 years, R for 2.89% we obtain interest as follows

Interest=$1,385*2.89*7 years/100=$280.1855

Balance after 7 years will be the sum of principal amount and interest gained

Balance=$1,385+$280.1855 =$1,665.1855

Rounding off to 2 decimal places

Balance=$1665.19

Therefore, Michelle's balance is $1,665.19

4 0

3 years ago

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month

Natalija [7]

Answer:

Step-by-step explanation:

I need help with same question please

5 0

3 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers